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Find the indicated area under the curve of the standard normal distribution; th- percentage and fill in the blank. About mean) % of the area is between z= - 1 and z =1 (or within 1 standard

Find the indicated area under the curve of the standard normal distribution; th- percentage and fill in the blank. About mean) % of the area is between z= - 1 and z =1 (or within 1 standard

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Find the indicated area under the curve of the standard normal distribution, then convert it to a percentage and fill in the blank. About mean) % of the area is between z= -1 and z=1 (or within 1 standard deviation of the About % of the area is between z= - (Round to two decimal places as needed.) 1 and z 1 (or within 1 standard deviation of the mean).
Transcribed Image Text:Find the indicated area under the curve of the standard normal distribution, then convert it to a percentage and fill in the blank. About mean) % of the area is between z= -1 and z=1 (or within 1 standard deviation of the About % of the area is between z= - (Round to two decimal places as needed.) 1 and z 1 (or within 1 standard deviation of the mean).
Expert Solution
Step 1

Empirical Rule:

  • The percentage of values lies between one standard deviation from the mean is 68.27%.
  • The percentage of values lies between two standard deviation from the mean is 95%.
  • The percentage of values lies between three standard deviation from the mean is 99.7%
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